Maxi (Irene McCoubrey) represented Ireland in 1973 solo and in 1981 with the Sheeba. She is is an Irish radio disc-jockey and producer; actor, journalist, and singer…She began her career with Maxi, Dick and Twink girl band in the late 1960s.
According to news of radiotoday.ie:
Showbiz legend and former presenter with both RTÉ Radio 1 and 2FM, Irene McCoubrey – better known as Maxi – has announced she is to retire.
Maxi presented Irish Eurovision National Final in 1987 with Marty Whelan.
She represented her country in 1973 with her song “Do I Dream” and became 10th with 80 points in Luxembourg.
https://www.youtube.com/watch?v=kVUq7nUGGS4
After 8 years later in 1981 she represented her country as apart of the Sheeba and their song (Horoscopes). They became 5th with 105 points in Dublin.
https://www.youtube.com/watch?v=iHXUWjP7qdw
Source: radiotoday.ie